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Finding the Fourth Proportional to 875.47, 1,313.20 and 822.01

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Solution

The fourth proportional to 875.47, 1,313.20 and 822.01 is: 1,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.47 : 1,313.20 = 822.01 : x
  2. Step 2: Convert to fraction form
    875.47/1,313.20 = 822.01/x
  3. Step 3: Cross multiply
    875.47x = 1,313.20 × 822.01
  4. Step 4: Simplify right side
    875.47x = 1,079,456.97
  5. Step 5: Solve for x
    x = 1,079,456.97/875.47
  6. Step 6: Final answer
    x = 1,233.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.